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The elongation of a wire on the surface of the earth is 10^{-4} \mathrm{~m}. The same wire of same dimensions is elongated by 6 \times 10^{-5} \mathrm{~m} on another planet. The acceleration due to gravity on the planet will be___________\mathrm{ms}^{-2}. (Take acceleration due to gravity on the surface of earth =10 \mathrm{~ms}^{-2} )

Option: 1

6


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

For a given material , \mathrm{Y} will be constant

\mathrm{\left.\begin{matrix} \Delta l_{E}= 10^{-4}m\\ \Delta l_{p}= 6\times 10^{-5}m \end{matrix}\right|\begin{matrix} g_{P}\rightarrow \text{acceleration due to gravity on planet} \\ \end{matrix}}
\mathrm{Y= \frac{mg}{A}\times \frac{l}{\Delta l}}
\mathrm{g\, \alpha \, \Delta l}

\mathrm{\frac{g_{E}}{g_{p}}= \frac{\Delta l_{E}}{\Delta l_{P}}}
\mathrm{\frac{10}{g_{p}}= \frac{10^{-4}}{6\times 10^{-5}}\Rightarrow g_{p}= 6\, \frac{m}{s^{2}}}
 

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